Pith Number

pith:PZXHRUZ5

pith:2025:PZXHRUZ5SMHYKE4XQS3MF6GZBW

not attested not anchored not stored refs pending

Mass Lower Bounds for Asymptotically Locally Flat Manifolds

Jian Wang, Marcus Khuri

arxiv:2509.03014 v1 · 2025-09-03 · math.DG · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZXHRUZ5SMHYKE4XQS3MF6GZBW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds

Receipt and verification

First computed	2026-07-05T12:04:01.902658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6e78d33d930f85139784b6c2f8d90dba174dfd4f06e765bf834e769fb204b2

Aliases

arxiv: 2509.03014 · arxiv_version: 2509.03014v1 · doi: 10.48550/arxiv.2509.03014 · pith_short_12: PZXHRUZ5SMHY · pith_short_16: PZXHRUZ5SMHYKE4X · pith_short_8: PZXHRUZ5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PZXHRUZ5SMHYKE4XQS3MF6GZBW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7e6e78d33d930f85139784b6c2f8d90dba174dfd4f06e765bf834e769fb204b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9408b128a05042d336dcc5b96dc1364e6d23b631bfb390071e36385de025dc42",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-09-03T04:43:45Z",
    "title_canon_sha256": "ce013f69b848184d1a3327b8f2d0e5d6cbf2fd9d758647144f2bf4a6d81071a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03014",
    "kind": "arxiv",
    "version": 1
  }
}